Answer:
Graphs 1, 2, and 3 are not functions. Graph 4 is a function.
Step-by-step explanation:
Use the vertical line test.
Imagine a vertical line moving from left to right.
If in any position of the vertical line, it intersects more than one point on the graph, then it is not a function.
In graphs 1 and 2 it is clear that there are many vertical lines than would intersect the graph at more than one point.
In graphs 3, a vertical line would intersect the vertical parts of the graph at more than 1 point, so graph 3 is not a function.
The only function is graph 4.
Answer:
Step-by-step explanation:
First, parallel lines have the same slope, so the slopes should be the same , and then you use the given point to find the y intercept
EX:
y=x+1
find equation of line the is parallel and passes through (1, 1)
Same slope, so y=x+b
then plug in the point
1=1+b
b=0
our line would be y=x
7. a
Given,
Diameter = 16 feet
So, radius = 16 feet/2 = 8 feet
Circumference = 2πr
So, circumference of this circle
= 2πr
= 2 × 3.14 × 8 feet
= 3.14 × 16 feet
= 50.24 feet
b.
Given,
Diameter = 16 feet
So, radius = 16 feet/2 = 8 feet
Area = πr²
So, area of this circle
= 3.14 × (8 feet)²
= 3.14 × 64 feet²
= 200.96 feet²
Ok so we'll go ahead and solve for y first - we just need to get it alone on one side of the equal sign
Step 1: subtract 2x from each side
2x - 7y - 2x = 19 - 2x
This cancels out the 2x on the left, giving us
-7y = 19 - 2x
Step 2: divide both sides by -7
= 
+ 
This gives us
y = -19/7 + 2x/7
That should be your answer for the first question. Now solving the next parts are easy. All you need to do is plug in x.
When x = -3
y = -19/7 + 2x/7
y = -19/7 + 2(-3)/7
y = -19/7 - 6/7
y = -25/7
When x = 0
y = -19/7 + 2x/7
y = -19/7 + 2(0)/7
y = -19/7
When x = 3
y = -19/7 + 2x/7
y = -19/7 + 2(3)/7
y = -19/7 + 6/7
y = -13/7
Hope that helps! Feel free to ask if I can help with anything else :)
